The purity of a chemical batch, expressed as a percentage, is equal to 100x , where the random variable X has a beta distribution with parameters a 7 2 and b 2 3 (a) What are the expectation and variance of the purity levels (b) What is the probability that a chemical batch has a purity of at least...

The purity of a chemical batch, expressed as a percentage, is equal to 100x-, where the random

Question:

The purity of a chemical batch, expressed as a percentage, is equal to 100x-, where the random variable X has a beta with parameters a = 7.2 and b = 2.3.
(a) What are the expectation and variance of the purity levels?
(b) What is the probability that a chemical batch has a purity of at least 90%?
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...